The maximum electric field in a plane electromagnetic wave is 900 NC^-1. The wave is going in th

step 1 In this problem, given that E0 is equal to 900 Newton per kula, let the maximum value of magneti

The maximum electric field in a plane electromagnetic wave...

The maximum electric field in a plane electromagnetic wave is $900 \mathrm{NC}^{-1}$. The wave is going in the $\mathrm{x}$ direction and the electric field is in the y direction. The maximum magnetic field in the wave is $\mathrm{T}$ (A) $3 \times 10^{-8}$ (B) $3 \overline{\times 10^{-6}}$ (C) $27 \times 10^{-6}$ (D) $27 \times 10^{10}$

The maximum electric field in a plane electromagnetic wave is $900 \mathrm{NC}^{-1}$. The wave is going in the $\mathrm{x}$ direction and the electric field is in the y direction. The maximum magnetic field in the wave is $\mathrm{T}$
(A) $3 \times 10^{-8}$
(B) $3 \overline{\times 10^{-6}}$ (C) $27 \times 10^{-6}$ (D) $27 \times 10^{10}$

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Key Concepts

Plane Electromagnetic Waves

Plane electromagnetic waves are solutions to Maxwell's equations characterized by oscillating electric and magnetic fields that are perpendicular to each other and to the direction of propagation. These waves exhibit constant amplitude along planes perpendicular to the direction of travel and serve as ideal models for understanding light and other forms of radiation.

Relationship between Electric and Magnetic Fields

In free space, the electric field (E) and magnetic field (B) in a plane electromagnetic wave are related by the equation E = cB, where c is the speed of light. This relation shows that if the magnitude of the electric field is known, the corresponding magnetic field magnitude can be calculated by dividing the electric field by the speed of light.

Speed of Light

The speed of light in a vacuum, approximately 3 x 10^8 m/s, is a fundamental constant that ties together the behavior of electric and magnetic fields in electromagnetic waves. It is the factor by which the electric field is scaled to yield the magnetic field in free space.

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